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413230050 = 2325217192843
BaseRepresentation
bin11000101000010…
…110001111100010
31001210120021001200
4120220112033202
51321241330200
6105000542030
713145253222
oct3050261742
91053507050
10413230050
111a2291942
12b6481916
13677c442c
143cc4a082
1526428800
hex18a163e2

413230050 has 144 divisors (see below), whose sum is σ = 1237822560. Its totient is φ = 98219520.

The previous prime is 413230003. The next prime is 413230057. The reversal of 413230050 is 50032314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413230057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143929 + ... + 146771.

It is an arithmetic number, because the mean of its divisors is an integer number (8595990).

Almost surely, 2413230050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413230050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618911280).

413230050 is an abundant number, since it is smaller than the sum of its proper divisors (824592510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413230050 is a wasteful number, since it uses less digits than its factorization.

413230050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 413230050 is about 20328.0606551633. The cubic root of 413230050 is about 744.8416701808.

Adding to 413230050 its reverse (50032314), we get a palindrome (463262364).

The spelling of 413230050 in words is "four hundred thirteen million, two hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 25 30 34 38 45 50 51 57 75 85 90 95 102 114 150 153 170 171 190 225 255 285 306 323 342 425 450 475 510 570 646 765 850 855 950 969 1275 1425 1530 1615 1710 1938 2550 2843 2850 2907 3230 3825 4275 4845 5686 5814 7650 8075 8529 8550 9690 14215 14535 16150 17058 24225 25587 28430 29070 42645 48331 48450 51174 54017 71075 72675 85290 96662 108034 127935 142150 144993 145350 162051 213225 241655 255870 270085 289986 324102 426450 434979 483310 486153 540170 639675 724965 810255 869958 918289 972306 1208275 1279350 1350425 1449930 1620510 1836578 2174895 2416550 2430765 2700850 2754867 3624825 4051275 4349790 4591445 4861530 5509734 7249650 8102550 8264601 9182890 10874475 12153825 13774335 16529202 21748950 22957225 24307650 27548670 41323005 45914450 68871675 82646010 137743350 206615025 413230050